Highest Common Factor of 3094, 5644 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 3094, 5644 i.e. 34 the largest integer that leaves a remainder zero for all numbers.
HCF of 3094, 5644 is 34 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 3094, 5644 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 3094, 5644 is 34.
HCF(3094, 5644) = 34
HCF of 3094, 5644 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3094, 5644 is 34.
Highest Common Factor of 3094,5644 is 34
Step 1: Since 5644 > 3094, we apply the division lemma to 5644 and 3094, to get
5644 = 3094 x 1 + 2550
Step 2: Since the reminder 3094 ≠ 0, we apply division lemma to 2550 and 3094, to get
3094 = 2550 x 1 + 544
Step 3: We consider the new divisor 2550 and the new remainder 544, and apply the division lemma to get
2550 = 544 x 4 + 374
We consider the new divisor 544 and the new remainder 374,and apply the division lemma to get
544 = 374 x 1 + 170
We consider the new divisor 374 and the new remainder 170,and apply the division lemma to get
374 = 170 x 2 + 34
We consider the new divisor 170 and the new remainder 34,and apply the division lemma to get
170 = 34 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 34, the HCF of 3094 and 5644 is 34
Notice that 34 = HCF(170,34) = HCF(374,170) = HCF(544,374) = HCF(2550,544) = HCF(3094,2550) = HCF(5644,3094) .
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Frequently Asked Questions on HCF of 3094, 5644 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 3094, 5644?
Answer: HCF of 3094, 5644 is 34 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3094, 5644 using Euclid's Algorithm?
Answer: For arbitrary numbers 3094, 5644 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.